Submanifolds of compact operators with fixed multiplicities of eigenvalues

• Datum: 2011
• Hauptverfasser: Bondar, A. A., Dymarskii, Ya. M., Бондарь, А. А., Дымарский, Я. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2011
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2796
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

The manifold of symmetric real matrices with fixed multiplicities of eigenvalues was considered for the first time by V. Arnold. In the case of compact real self-adjoint operators, analogous results were obtained by Japanese mathematicians D. Fujiwara, M. Tanikawa, and S. Yukita. They introduced a...